9514 1404 393
Answer:
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^0 = 1 . . . . for a ≠ 0
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And, it is convenient to know the cubes of small integers:
1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125
6³ = 216; 7³ = 343; 8³ = 512; 9³ = 729; 10³ = 1000
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1) p^3 × p^5 = p^-12 × p^y
Equating exponents:
3 + 5 = -12 + y
20 = y . . . . . . . . . . . add 12
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2) 64 × 4^5 = 4^3 × 4^5 = 4^(3+5) = 4^8
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3) 10^x = 1 = 10^0
x = 0
Answer:
π/3
Step-by-step explanation:
-5π/3 is a co terminal of 2π-5π/3= (6π-5π)/3=π/3
When graph crosses y-axis, x=0
<span>-2x+2y=4
</span><span>-2*0+2y=4
2y=4
y=2
x=0, y=2,
so point is (0,2).</span>
The distance that she traveled in 28 secs is 205.24feet
<h3>Miles per hour to feet per seconds</h3>
Given the speed of Sara in mph as 5mph, on converting to feet/secs
Since 1mph = 1.4667ft/s
5mph = 7.33333ft/s
If Sara traveled 7.33333ft in 1 secs, the total distance traveled in 28 sec will be;
Distance in 28s = 28 * 7.333
Distance in 28s = 205.24feet
Hence the distance that she traveled in 28 secs is 205.24feet
Learn more on mph to ft/s here: brainly.com/question/3710550
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